Weakly continuous holomorphic functions on pseudoconvex domains in Banach spaces

被引：3

作者：

Mujica, Jorge ^{[1
]}

Vieira, Daniela M. ^{[1
]}

机构：

[1] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP, Brazil

来源：

REVISTA MATEMATICA COMPLUTENSE | 2010年 / 23卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Holomorphic function; Banach space; Schauder basis; Pseudoconvex domain; DIMENSIONAL RIEMANN DOMAINS; BOUNDED APPROXIMATION PROPERTY; POLYNOMIAL-APPROXIMATION; MAPPINGS; ALGEBRAS; SPECTRUM; BASES;

D O I：

10.1007/s13163-009-0026-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of weakly continuous holomorphic functions on pseudoconvex domains in Banach spaces with Schauder bases. We establish the identity of pseudoconvex domains and domains of existence of weakly continuous holomorphic functions. We show that holomorphic functions can be approximated by weakly continuous holomorphic functions. We study the spectra of certain algebras of weakly continuous holomorphic functions.

引用

页码：435 / 452

页数：18

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